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ashok kumar Grade: 11
        find the integral solutions of the equation (1-i)^x=(2)^x
6 years ago

Answers : (3)

Sukhendra Reddy Rompally B.Tech Mining Machinery Engg, ISM Dhanbad
93 Points
										

Dear Student,


Taking Log on both sides,u get xlog1/logi = xlog2


U have log1=0 and log2 is not equal to 0,which means x has o be zero


and that is the only integral solution


THANKS


ALL THE BEST


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6 years ago
Sukhendra Reddy Rompally B.Tech Mining Machinery Engg, ISM Dhanbad
93 Points
										

Dear Student,


Sorry for the wrong reply,i went wrong somewhere...


Anyways,taking Log on both sides,u get xLog(1-i) = x Log2


multiply and divide 1-i by root 2,u get 1-i/2^0.5 = e^-ipie/4


that is x( 0.5Log2 - i22/28 ) = xLog2


that is xLog2 = -i22/28 and x=0 are the solutions


clearly,x is imaginary if the 1st eqn is true,hence,x=0 is the only integral solution


 


THANKS


ALL THE BEST


PLZZZ APPROVE MY ASNWER IF YOU LIKE IT

6 years ago
mycroft holmes
266 Points
										

6 years ago
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